Question

Which ratio is equivalent to the unit rate 30 miles/1 gallon? Explain how the unit rate is transformed into an equivalent ratio.

A) 10 miles/1 gallon
B) 60 miles/2 gallons
C) 15 miles/0.5 gallons
D) 90 miles/3 gallons

Answer 1

To find an equivalent ratio to the unit rate 30 miles/1 gallon, you need to multiply both the numerator and the denominator by the same number. The ratio equivalent to the unit rate is 300 miles/10 gallons, so the correct option is 10 miles/1 gallon.

Step-by-step explanation:

To find an equivalent ratio, we need to multiply or divide both the numerator and the denominator of the unit rate by the same number.

Since the unit rate is 30 miles/1 gallon, we can multiply both the numerator and the denominator by 10 to find an equivalent ratio.

So, the ratio equivalent to the unit rate 30 miles/1 gallon is 300 miles/10 gallons.

Therefore, the correct option is Option A) 10 miles/1 gallon because it is equivalent to the given unit rate.